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42372384 = 253597481
BaseRepresentation
bin1010000110100…
…0110100100000
32221201201222120
42201220310200
541321404014
64112104240
71023105435
oct241506440
987651876
1042372384
1121a10aaa
1212235080
138a17622
1458adb8c
153abeba9
hex2868d20

42372384 has 48 divisors (see below), whose sum is σ = 113127840. Its totient is φ = 13882880.

The previous prime is 42372383. The next prime is 42372391. The reversal of 42372384 is 48327324.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42372383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1924 + ... + 9404.

It is an arithmetic number, because the mean of its divisors is an integer number (2356830).

Almost surely, 242372384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42372384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56563920).

42372384 is an abundant number, since it is smaller than the sum of its proper divisors (70755456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42372384 is a wasteful number, since it uses less digits than its factorization.

42372384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7545 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 42372384 is about 6509.4073462951. The cubic root of 42372384 is about 348.6269580465.

The spelling of 42372384 in words is "forty-two million, three hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 7481 14962 22443 29924 44886 59848 89772 119696 179544 239392 359088 441379 718176 882758 1324137 1765516 2648274 3531032 5296548 7062064 10593096 14124128 21186192 42372384